The Stacks project

LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

	and replaced all the occurences of \textit{Sch} with \Sch.

Small edit in bootstrap.tex

Begin translating etale to \'etale or \acute{e}tale (in Math mode).

Potential Parallel Compile

	If you want to try this out you have to change the LATEX and
	PDFLATEX variables in the Makefile. It should be obvious...

Bootstrap: Added new chapter

	It seems better to discuss the bootstrap theorems in a separate
	chapter following the discussion of the basic material on
	algebraic spaces. This can then be used in the chapter on
	algebraic stacks when discussing presentations and what not.

	The goal is to prove the theorem that an fppf sheaf F for which
	there exists a scheme X and a morphism f : X --> F such that
		f is representable by algebraic spaces
		f is flat, surjective and locally of finite presentation
	is automatically an algebraic space. We have almost all the
	ingredients ready except for a slicing lemma -- namely somehow
	lemma 3.3 part (1) of Keel-Mori.

Bootstrap: Added new chapter

	It seems better to discuss the bootstrap theorems in a separate
	chapter following the discussion of the basic material on
	algebraic spaces. This can then be used in the chapter on
	algebraic stacks when discussing presentations and what not.

	The goal is to prove the theorem that an fppf sheaf F for which
	there exists a scheme X and a morphism f : X --> F such that
		f is representable by algebraic spaces
		f is flat, surjective and locally of finite presentation
	is automatically an algebraic space. We have almost all the
	ingredients ready except for a slicing lemma -- namely somehow
	lemma 3.3 part (1) of Keel-Mori.

Added new tags to the project

	modified:   tags/tags

Introducing different types of representable 1-morphisms of categories
fibred in groupoids

	modified:   algebraic.tex
	modified:   categories.tex
	modified:   spaces.tex